Home / 7,983.81-11,975.10-3,302.61

Finding the Fourth Proportional to 7,983.81, 11,975.10 and 3,302.61

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Solution

The fourth proportional to 7,983.81, 11,975.10 and 3,302.61 is: 4,953.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,983.81 : 11,975.10 = 3,302.61 : x
  2. Step 2: Convert to fraction form
    7,983.81/11,975.10 = 3,302.61/x
  3. Step 3: Cross multiply
    7,983.81x = 11,975.10 × 3,302.61
  4. Step 4: Simplify right side
    7,983.81x = 39,549,085.01
  5. Step 5: Solve for x
    x = 39,549,085.01/7,983.81
  6. Step 6: Final answer
    x = 4,953.66

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.